source
string
task_type
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in_source_id
string
instruction_seed
string
gold_standard_solution
string
verification_info
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problem_id
string
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string
stackexchange
llm_judgeable_groundtruth_similarity
842273
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I would appreciate it if somebody could help me with the following problem: If the sequence $ (a_{n})_{n \in \mathbb{N}} $ satisfies $$a_{1} = 1\quad \text{and} \quad\f...
For $n \ge 2$, we have: $a_{n+1} = \dfrac{(a_1+2)(a_2+2)\cdots(a_{n-1}+2)(a_n+2)}{2^{n+1}}$ $= \dfrac{(a_1+2)(a_2+2)\cdots(a_{n-1}+2)}{2^n}\cdot \dfrac{a_n+2}{2} = \dfrac{a_n(a_n+2)}{2} = \dfrac{1}{2}a_n^2+a_n$. Thus, $\dfrac{1}{a_n} - \dfrac{1}{a_{n+1}} = \dfrac{a_{n+1}-a_n}{a_na_{n+1}} = \dfrac{\tfrac{1}{2}a_n^2}{a_n...
{}
{'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/842273', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/59343/']}
jdg_183167
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
434254
Below is a question asked on the forum physics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: The equation given for plane sine wave (for instance used to "derive" the Schrödinger equation) is $$\Psi(\mathbf r,t)=\Psi_0e^{i(\mathbf k \cdot \mathbf r-\omega t)}...
but why we say that a wave function can be expressed as a complex value, combining cos and sin in the complex plane, while it actually only is equal to a sin (or cos) function. It isn't. Wavefunctions in quantum mechanics really are complex-valued. There are multiple places in physics where we use complex-valued wavefo...
{}
{'log_upvote_score': 4, 'links': ['https://physics.stackexchange.com/questions/434254', 'https://physics.stackexchange.com', 'https://physics.stackexchange.com/users/209497/']}
jdg_287950
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
11916
Below is a question asked on the forum mechanics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I drive a 2010 VW Golf. The AC has not been working at all lately. Before taking it in to the pros, I bought an AC Recharge Kit and only got to step 1 on the direct...
You should have been charging on the low side not the high side. But it's actually good that you weren't able to top off the system. You should never use that stuff in any car AC system and it's outlawed in the states. This is a flammable refrigerant! From the SDS (Saftey Data Sheet) AUTO – IGNITION TEMPERATURE: 1585 F...
{}
{'log_upvote_score': 4, 'links': ['https://mechanics.stackexchange.com/questions/11916', 'https://mechanics.stackexchange.com', 'https://mechanics.stackexchange.com/users/6759/']}
jdg_296277
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
25390
Below is a question asked on the forum cstheory.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: What is known about the complexity of solving a system of linear equations over some finite field? I know that there exists an $O(n^3)$ algorithm (Gauss) that comput...
I’m not sure this is a research-level question, however solving linear systems over $\mathbb F_p$ is a $\mathrm{Mod}_p\mathrm L$-complete problem, hence in particular it is in $\mathrm{NC}^2$. More generally, linear algebra over $\mathbb F_{p^k}$ (at least for $k$ fixed) can be reduced to the $\mathbb F_p$ case.
{}
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jdg_166926
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
15120254
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I was wondering if it necessary to call Close() in the following situation (if not necessary, why?) using (var file = System.IO.File.OpenText(myFilePath)){...} I presume it i...
With the using construct you get IDisposable.Dispose called automatically at the end of the code block which will close the file. If you don't use the using statement you have to call Close yourself. With using you also automatically get built-in try/finally exception handling which will behave more gracefully if somet...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/15120254', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1396516/']}
jdg_152854
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
18563585
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Let's say I have these two overloads: void Log(const wchar_t* message){ // Do something}void Log(const std::wstring& message){ // Do something} Can I then in the first ...
So this grew out of Keith Thompson's answer ... As far as I know, you can't restrict string literals to only normal functions, but you can do it to macro functions (through a trick). #include <iostream>#define LOG(arg) Log(L"" arg)void Log(const wchar_t *message) { std::wcout << "Log: " << message << "\n";}int main(...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/18563585', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6345/']}
jdg_308469
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
121852
Below is a question asked on the forum security.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Why is 128bit AES considered very strong but 160bit SHA 'insufficiently secure'? Google/chrome/browsers seems to drop support for SHA1 SSL certificates. I assume it'...
For hash functions (like SHA-1) being used to sign SSL certificates, the security is completely undermined if you have successful collision attacks. Due to the birthday paradox , a N-bit hash function effectively provides about N/2 bits of security against collision attacks. That is a brute-forcer can create collisio...
{}
{'log_upvote_score': 5, 'links': ['https://security.stackexchange.com/questions/121852', 'https://security.stackexchange.com', 'https://security.stackexchange.com/users/-1/']}
jdg_253833
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
48642
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I want to write a command that specifies "the word under the cursor" in VIM. For instance, let's say I have the cursor on a word and I make it appear twice. For instance, i...
<cword> is the word under the cursor (:help <cword> ). Sorry, I should have been more complete in this answer. You can nmap a command to it, or this series of keystrokes for the lazy will work: b #go to beginning of current wordyw #yank to register Then, when you are typing in your pattern you can hit <control-r>0<ente...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/48642', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1084/']}
jdg_88168
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
40923165
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: So in R when I have a data frame consisting of say 4 columns, call it df and I want to compute the ratio by sum product of a group, I can it in such a way: // generate datadf...
According to this thread on pandas github we can use the transform() method to replicate the combination of dplyr::groupby() and dplyr::mutate() . For this example, it would look as follows: df = pd.DataFrame( dict( a=(1 , 1, 0, 1, 0 ), b=(1 , 0, 0, 1, 0 ), c=(10, 5, 1, 5, 10), d=(3 , 1,...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/40923165', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3527983/']}
jdg_113112
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
48293
Below is a question asked on the forum cs.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am reading Sipsers . The book introduces halting problem and proves that is a turing recognisable language but not a turing decidable language. Thus giving a Turing mach...
A TM s just a program. It does whatever you program it to do. If, for instance, you program it to perform the following: while (true){ do_nothing} , then it will never halt! The language $L$ goes over all possible machines $M$, and therefore it must encounter some machines that don't halt, for instance, the one stat...
{}
{'log_upvote_score': 5, 'links': ['https://cs.stackexchange.com/questions/48293', 'https://cs.stackexchange.com', 'https://cs.stackexchange.com/users/27566/']}
jdg_235807
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
12941362
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Is it possible to increment numbers using regex substitution? Not using evaluated/function-based substitution , of course. This question was inspired by another one, where th...
This question's topic amused me for one particular implementation I did earlier. My solution happens to be two substitutions so I'll post it. My implementation environment is solaris, full example: echo "0 1 2 3 7 8 9 10 19 99 109 199 909 999 1099 1909" |perl -pe 's/\b([0-9]+)\b/0$1~01234567890/g' |perl -pe 's/\b0(?!9...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/12941362', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/925913/']}
jdg_174202
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
43958
Below is a question asked on the forum astronomy.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: The Space Weather News for May 23, 2021 reads (with some highlighting by me) Yesterday, the sun produced a sequence of solar flares unlike anything we've seen in ye...
How are the solar flares from May 23, 2021 extraordinary? They weren't at all extraordinary. The Sun has been quiescent for the last three or so years. This quiescence is typical of the period between solar cycles. Solar cycle 25 is finally becoming a tiny bit active. What is a "magnetic canopy of a sunspot"? Bad prose...
{}
{'log_upvote_score': 5, 'links': ['https://astronomy.stackexchange.com/questions/43958', 'https://astronomy.stackexchange.com', 'https://astronomy.stackexchange.com/users/37191/']}
jdg_157904
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8987782
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: When trying to parse a Date with DateTime::createFromFormat PHP will not recognize the timezone. Example: $t = new \DateTime(); echo $t->format('Y-m-dTH:i:s'); will output 20...
It looks like a bug (or at least an undocumented limitation ) with PHP... If we try the 4 possible whitespace permutations: var_dump(\DateTime::createFromFormat('Y-m-dTH:i:s', '2012-01-24MSK16:53:52'));var_dump(\DateTime::createFromFormat('Y-m-d T H:i:s', '2012-01-24 MSK 16:53:52'));var_dump(\DateTime::createFromForma...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8987782', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/524034/']}
jdg_219900
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2954531
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I've got a standard 'dynamic dictionary' type class in C# - class Bucket : DynamicObject{ readonly Dictionary<string, object> m_dict = new Dictionary<string, object>(); ...
Whenever a property on a dynamic object is resolved, the runtime tries to find a property that is defined at compile time. From DynamicObject doco: You can also add your own members to classes derived from the DynamicObject class. If your class defines properties and also overrides the TrySetMember method, the dyna...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/2954531', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/234/']}
jdg_116984
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
41515
Below is a question asked on the forum mathematica.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Say I have two arbitrary real constants $p,q$ that satisfy $p^2+q^2=1$. Is there any way to easily declare this relation in Mathematica ? Edit More specifically I...
There are many possible ways to tackle this task. expr = Sqrt[ ((p^4 q^4 (p^2 - q^2))/(p^4 + q^4))]/Sqrt[ p^10 + p^2 q^8 + p^8 (-2 + q^2) + 2 p^4 q^4 (-2 + q^2) + q^6 (-1 + q^2)^2 + p^6 (1 + 2 q^4)]; Standard approach uses simplification techniques like Simplify or FullSimplify , the latter appears to be unneces...
{}
{'log_upvote_score': 4, 'links': ['https://mathematica.stackexchange.com/questions/41515', 'https://mathematica.stackexchange.com', 'https://mathematica.stackexchange.com/users/12101/']}
jdg_262404
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6622913
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have such code: @interface Alert : UIView {}/*- (void) initWithTitle:(NSString*)title message:(NSString*)message cancelButtonTitle:(NSString*)cancelButtonTitle otherButtonT...
The recommended solutions which handle device orientation properly are pod AGWindowView It will automatically deal with any rotation and framechanges so you won't have to worry about that. read and follow the official post https://developer.apple.com/library/content/qa/qa1688/_index.html Add your view to the first subv...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/6622913', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/165547/']}
jdg_230532
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
17725891
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have tables table1 col1 col2 a bc d and table2 mycol1 mycol2e fg hi jk l I want to combine the two tables, which ...
Get a row number for each row in each table, then do a full join using those row numbers: WITH CTE1 AS( SELECT ROW_NUMBER() OVER(ORDER BY col1) AS ROWNUM, * FROM Table1),CTE2 AS( SELECT ROW_NUMBER() OVER (ORDER BY mycol1) AS ROWNUM, * FROM Table2)SELECT col1, col2, mycol1, mycol2FROM CTE1 FULL JOIN CTE2 ON CTE1.R...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/17725891', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2595862/']}
jdg_276951
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
13142834
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Possible Duplicate: How to provide an API client with 1,000,000 database results? Wondering of the use of Cursors is a good way to implement "paging" using PostgreSQL. The us...
Cursors are a reasonable choice for paging in smaller intranet applications that work with large data sets, but you need to be prepared to discard them after a timeout. Users like to wander off, go to lunch, go on holiday for two weeks, etc, and leave their applications running. If it's a web-based app there's even the...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/13142834', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/84131/']}
jdg_266701
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1246538
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: How do I solve $\frac{1}{x-1}>0$ for $x$? If I multiply both sides with $x-1$ then becomes $1\gt 0$. I know it's wrong. How do I solve it? Now provide the response and ...
Divide this into cases. The expression is not defined if $x = 1$. If $x > 1$, you can multiply both sides by $x - 1$ to get $1 >0$ So, if $x > 1$ the inequality is satisfied. If $x < 1$, multiplying both sides by $x - 1$ reverses the inequality and you hae$1 < 0$. This is never true, so if $x < 1$, the inequality do...
{}
{'log_upvote_score': 5, 'links': ['https://math.stackexchange.com/questions/1246538', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/221836/']}
jdg_312579
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1698663
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: C++ headers If I have A.cpp and A.h as well as b.h, c.h, d.h Should I do: in A.h: #include "b.h"#include "c.h"#include "d.h" in A.cpp: #include "A.h" or in A.cpp: #include "A...
You should only include what is necessary to compile; adding unnecessary includes will hurt your compilation times, especially in large projects. Each header file should be able to compile cleanly on its own -- that is, if you have a source file that includes only that header, it should compile without errors. The hea...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1698663', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/204151/']}
jdg_158035
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
442409
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Is there any way i can calculate bandwidth (packets sent and received) by an exe/application via net? have looked into IPGlobalProperties , and other classes. I want packets ...
One way is to retrieve the value of the performance counters ".NET CLR Networking/Bytes Received" and ".NET CLR Networking/Bytes Sent" for your application: PerformanceCounter bytesSentPerformanceCounter= new PerformanceCounter();bytesSentPerformanceCounter.CategoryName = ".NET CLR Networking";bytesSentPerformanceCount...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/442409', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']}
jdg_290029
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6271417
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: All I am trying to do is to get the current class name, and java appends a useless non-sense $1 to the end of my class name. How can I get rid of it and only return the actua...
The "$1" is not "useless non-sense". If your class is anonymous, a number is appended. If you don't want the class itself, but its declaring class, then you can use getEnclosingClass() . For example: Class<?> enclosingClass = getClass().getEnclosingClass();if (enclosingClass != null) { System.out.println(enclosingClas...
{}
{'log_upvote_score': 9, 'links': ['https://Stackoverflow.com/questions/6271417', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/242769/']}
jdg_101414
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3783860
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let $f(x)={x^2+10x+20}$ then the number of real solutions of $f(f(f(f(x))))=0$ My try: I first tried finding the roots of $f(x)=0$ they came out to be $-5+\sqrt{5}$ and ...
Hint : $$f(x) = x^2+10x+20 = (x+5)^2 - 5$$ so $$f(f(x)) = ((x+5)^2 - 5 + 5)^2 - 5 = (x+5)^4 - 5 $$ $$f(f(f(x))) = (x+5)^8 - 5$$ ... and it should be easier to analyse $f^{(4)}(x)$ now.
{}
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jdg_197462
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8092670
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: This compiles perfectly fine with the current MSVC compiler: struct Foo{} const foo; However, it fails to compile with the current g++ compiler: error: uninitialized const 'f...
The C++03 Standard: 8.5 [dcl.init] paragraph 9 If no initializer is specified for an object, and the object is of (possibly cv-qualified) non-POD class type (or array thereof), the object shall be default-initialized; if the object is of const-qualified type, the underlying class type shall have a user-declared default...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8092670', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/252000/']}
jdg_233297
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1392749
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I've tried substitution, replacing $\sec^2x$ with $\tan^2x + 1$, and parts and I just hit dead ends every time... Do you need knowledge of higher-level calculus to solve...
$$\begin{align}&\int \sec^3x\,dx\\=&\int \sec x \cdot \sec^2x\,dx\\\end{align}$$Parts: $u = \sec x,\, dv = \sec^2x\,dx$$$\begin{align}&\sec x \tan x - \int \sec x \tan^2x\,dx\\=\,&\sec x \tan x - \int \sec x\left(\sec^2x-1\right)dx\\=\,&\sec x \tan x - \int \sec^3x\,dx + \int\sec x\,dx \\\end{align}$$Using $\int\sec x\...
{}
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jdg_176966
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
16722917
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Would these two FROM clauses produce the same results? And if not, is there a way to write the the first one so that no parenthesis are needed? FROM SALESTAX ...
I have no idea if the 1st is equivalent to the 2nd (first because the queries are unfriendly formatted, to say the least and second because RIGHT joins are kind of confusing, since many are used to write using LEFT joins.) But to answer the question: Is there a way to write the the first one so that no parenthesis are ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/16722917', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1019215/']}
jdg_245862
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2399307
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: class A: def __init__(self): print("world")class B(A): def __init__(self): print("hello")B() # output: hello In all other languages I've worked with the s...
In line with the other answers, there are multiple ways to call super class methods (including the constructor), however in Python-3.x the process has been simplified: Python-3.x class A(object): def __init__(self): print("world")class B(A): def __init__(self): print("hello") super().__init__() Python-2.x In pyth...
{}
{'log_upvote_score': 10, 'links': ['https://Stackoverflow.com/questions/2399307', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/357024/']}
jdg_216645
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
39708845
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am new to Swift and Xcode. I am running macOS Sierra and Swift 3. For my first forays in Swift, I am developing a simple command line tool. There are a couple of Swift pack...
Xcode and the SPM can work together, but as far as I can tell you do need to take one step on the command line. Put your package manifest file into the same directory as the Xcode project, and then invoke swift package generate-xcodeproj The package manager will pull down your dependencies and rewrite the .xcodeproj fi...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/39708845', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/278816/']}
jdg_217995
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
26160
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Is there some proven statement that tells us "not all X satisfy Y", but there are currently no examples of X which do not satisfy Y? Is it necessarily true that there ar...
There is a standard way to construct these things in classical logic. Your question is the same as "if we know that at least one $x$ satisfies $Z$, can we find an example of an $x$ that satisfies $Z$" and I'll work with the positive version. First, choose some well-defined, unambiguous statement whose truth is not kno...
{}
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jdg_192196
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3978266
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I've used read.table to read a file that contains numbers such as 0.00001 when I write them back with write.table those numbers appear as 1e-5 How can I keep the old forma...
You can do this by converting your numbers to strings with formatting as you require, then using the argument quote = FALSE in the call to write.table . dfr <- data.frame(x = 10^(0:15))dfr$y <- format(dfr$x, scientific = FALSE)write.table(dfr, file = "test.txt", quote = FALSE) Note that you shouldn't need to change the...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3978266', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/425895/']}
jdg_103979
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
6192493
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am having trouble with my array of references which point to another array. Here's a snippet of my code: # @bah is a local variable array that's been populated, @foo is als...
Always use strict; and use warnings; . The @ dereference takes precedence, so @$foo[9] expects $foo to be an array reference and gets element 9 from that array. You want @{$foo[9]} . use strict would have alerted you that $foo was being used, not @foo . For some easily memorizable rules for dereferencing, see http://p...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/6192493', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/112678/']}
jdg_372442
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4317097
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: What of the following TextBlocks' Bindings costs more performance: <Window x:Name="Me" x:Class="MainWindow" xmlns="http://schemas.microsoft.com/winfx/2006/xaml/presentat...
It's usually a terrible idea to try to answer this sort of thing by arguing about which you think will be faster. Far better to construct an experiment to measure it. I modified your setup a little - I put the relevant Xaml into a UserControl, and bound to the Name property since UserControl doesn't have a Title proper...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/4317097', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/75500/']}
jdg_178588
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
24194582
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: An update for an already existing app I have was submitted this morning. The update was very minor barely any changes were made. Apple has now sent me this email stating.. th...
Ok, my answer has been deleted because it was not an answer to the question.I do not have enough points to comment your question (that's what I tried to do because I obviously don't have the answer — just the same problem as you and trying to figure out why we're getting this Invalid Binary error) As I said in my first...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/24194582', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2525892/']}
jdg_347569
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
24173117
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Looking at the javadoc I saw the that an ArrayList has an overloaded add method: public boolean add(E e) Appends the specified element to the end of this list. and public voi...
Collection.add is a pretty generic method (not in the sense of Java generics -- in the sense of being widely applicable). As such, they wanted a return value that would apply generally. Some classes (like ArrayList ) always accept elements, and so will always return true . You're right that in these cases, a return typ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/24173117', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/-1/']}
jdg_212627
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7720
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am writing an application in Java for the desktop using the Eclipse SWT library for GUI rendering. I think SWT helps Java get over the biggest hurdle for acceptance on the...
To follow up on pauxu's answer, I'm using launch4j and NSIS on a project of mine and thought it would be helpful to show just how I'm using them. Here's what I'm doing for Windows. BTW, I'm creating .app and .dmg for Mac, but haven't figured out what to do for Linux yet. Project Copies of launch4j and NSIS In my proj...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/7720', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/998/']}
jdg_365172
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29898103
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: First what I want in this project is a small pedipaper. People carry the first button and if you have to go right to the point 2.So I need a form in Google Maps that makes th...
I don't think that's a pandas bug. It seems to be just the way python sorting algorithm works with mixed cased letters (being case sensitive) - look here Because when you do: In [1]: l1 = ['ADc','Abc','AEc']In [2]: l1.sort(reverse=True)In [3]: l1Out[3]: ['Abc', 'AEc', 'ADc'] So, since apparently one cannot control the ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/29898103', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2616690/']}
jdg_217154
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
26749571
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Scenario: I want to implement an infinite list: abstract class MyList[+T]case object MyNil extends MyList[Nothing]case class MyNode[T](h:T,t: => MyList[T]) extends MyList[T]/...
There is no contradiction: class A(x: => Int) is equivalent to class A(private[this] val x: => Int) and not class A(private val x: => Int) . private[this] marks a value instance-private, while a private-modifier without further specification allows accessing the value from any instance of that class. Unfortunately, def...
{}
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jdg_294709
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8355
Below is a question asked on the forum scicomp.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Consider two computers with different hardware and software configurations. When running the exact same serial Navier-Stokes code on each platform it takes x and y ti...
This list is nowhere near complete, but hopefully the size of it will give a hint as to the scale of possible factors. I am assuming you are compiling the code from source on your platform of choice. Software Standard Library Performance Lin. Alg. Library Performance (if the software links to outside libraries) Compil...
{}
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jdg_343088
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
36068622
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am trying to create an array of bool arrays. I want to have every combination of bool arrays with the exception of {false, false, false, false} . I want the order of this...
Let's make a series of small refactorings. We start with: private bool[][] GetBoolArrays(){ var fourDoorList = new List<bool[]>(); fourDoorList.Add(new bool[4] { true, true, true, true }); fourDoorList = fourDoorList.OrderBy(c => Random.Range(float.MinValue, float.MaxValue)).ToList(); var threeDoorList = ne...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/36068622', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1889720/']}
jdg_85789
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
35951207
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Using R. Base package, dplyr, or data.table are all okay for me to use. My data is ~1000 rows x 20 columns. I expect about 300 duplicates. I'd like to do something like th...
Here is an option using duplicated twice, second time along with fromLast = TRUE option because it returns TRUE only from the duplicate value on-wards dupe = data[,c('T.N','ID')] # select columns to check duplicatesdata[duplicated(dupe) | duplicated(dupe, fromLast=TRUE),]# File T.N ID Col1 Col2#1 BAI.txt T 1 sda...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/35951207', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4789486/']}
jdg_379389
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3437881
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Please tell me how can we have multiple values for the same key in NSMutableDictionary? When I use the below approach, the values are being replaced with the recent one. In m...
It seems like you are using code as the key and you want to represent multiple values based on code . In that case, you should either: Abstract all data associated with code into a separate class (perhaps called Person ) and use instances of this class as values in the dictionary. Use more than one layer of dictionarie...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/3437881', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/119570/']}
jdg_360544
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1240960
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: What does the Inherited bool property on attributes refers to? Does it mean that if I define my class with an attribute AbcAtribute (that has Inherited = true ), and if I inh...
When Inherited = true (which is the default) it means that the attribute you are creating can be inherited by sub-classes of the class decorated by the attribute. So - if you create MyUberAttribute with [AttributeUsage (Inherited = true)] [AttributeUsage (Inherited = True)]MyUberAttribute : Attribute{ string _Special...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/1240960', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/130758/']}
jdg_195630
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3278660
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Is there any solution to this system of equations where $x,y,z,s,w,t\in\mathbb{Z}$ , none are $0$ . \begin{align*}x^2+y^2=z^2\\\s^2+z^2=w^2\\\x^2+t^2=w^2\end{align*} EDI...
The solutions has to be found among $w$ that has multiple Pythagorean triples solutions. Three primitive Pythagorean triples with the same c So it was not a surprise to see solutions with $1105$ which has four triplets, according to post above. Anyway, I don't know for a closed form, but at least some solutions exists,...
{}
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jdg_302413
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1443
Below is a question asked on the forum linguistics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Most Romance languages don't have /x/ (like the j in hijo ), nor did Latin. Where did Spanish /x/ come from? Internal development, Arabic influence, or something ...
Spanish did have Arabic influence but it seems that the jota (the name for the letter j in Spanish) came from Latin, going through some variations. An hypothesis, provided in " Introducción a la historia de la lengua española " by Melvyn C. Resnick, at the page 38 (Scroll down until you read «Podemos postular...» going...
{}
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jdg_344640
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9153224
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have an upload form and am checking the file size and file type to limit the uploaded file to 2 megabytes and either .pdf, .jpg, .gif or .png file types. My goal is to hav...
Something that your code doesn't account for is displaying multiple errors. As you have noted above it is possible for the user to upload a file >2MB of the wrong type, but your code can only report one of the issues. Try something like: if(isset($_FILES['uploaded_file'])) { $errors = array(); $maxsize = 2...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/9153224', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/284908/']}
jdg_172689
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9640641
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am trying to use the functions suggested here to split a string by a deliminator, but I am getting a handful of errors whenever I try to use vector<string> as a return type...
This is not a valid vector<string> constructor: vector<string> thing(one, two); Change to (for example): std::vector<std::string> TestFunction(std::string one, std::string two) { std::vector<std::string> thing; thing.push_back(one); thing.push_back(two); return thing;} Also consider changing parameters to b...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/9640641', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/586606/']}
jdg_303458
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
271874
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Let $P$ be be a principal bundle over a manifold $M$ with structure group $G$, where $G$ is a Lie group. Let $E = P\times_{\rho} \mathbb{R}^{k}$ be a vector bundle associated ...
Here is the $2$-descent, following Silverman, The Arithmetic of Elliptic Curves , Proposition X.4.9 and Example X.4.10. Let $E: y^2 = x^3 + 6x^2 + x$ and $E': Y^2= X^3-12X^2+32X$ and $\phi: E \to E', (x,y) \mapsto(y^2/x^2,y(1-x^2)/x^2)$. This has the $\mathbf{Q}$-rational $2$-torsion point $(0,0)$. Then in Silverman'...
{}
{'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/271874', 'https://mathoverflow.net', 'https://mathoverflow.net/users/66688/']}
jdg_344952
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7707
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I just renamed a log file to "foo.log.old", and assumed that the application will start writing a new logfile at "foo.log". I was surprised to discover that it tracked t...
Programs connect to files through a number maintained by the filesystem (called an inode on traditional unix filesystems), to which the name is just a reference (and possibly not a unique reference at that). So several things to be aware of: Moving a file using mv does not change that underling number unless you move i...
{}
{'log_upvote_score': 6, 'links': ['https://unix.stackexchange.com/questions/7707', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/1594/']}
jdg_258687
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
209746
Below is a question asked on the forum unix.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am trying to use an alternate user (non-admin) to execute graphical software on my system. This alternate user has been named and given a UID and GID to match a remote...
The problem is not occurring because of the UID of the user. 500 is just fine as a UID, and that UID doesn't make it a 'non-login' user except in the eyes of the default settings of some few display managers. The error message No protocol specified sounds like an application-specific error message, and an unhelpful one...
{}
{'log_upvote_score': 6, 'links': ['https://unix.stackexchange.com/questions/209746', 'https://unix.stackexchange.com', 'https://unix.stackexchange.com/users/96932/']}
jdg_342989
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
52122
Below is a question asked on the forum skeptics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: According to The Independent , Donald Trump moved more than $200,000 donated to his Make America Great Again PAC into his own private business accounts, according to...
The original Forbes article links to the FEC Filings — these show payments from the Make America Great Again PAC to a few Trump Businesses, including payments categorized as rent to Trump Tower Commercial LLC and Trump Restaurants LLC. So there is no question that the FEC filings indicate that the PAC paid money to Tru...
{}
{'log_upvote_score': 6, 'links': ['https://skeptics.stackexchange.com/questions/52122', 'https://skeptics.stackexchange.com', 'https://skeptics.stackexchange.com/users/43717/']}
jdg_280387
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4639894
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm trying to execute an EXE file using a PowerShell script. If I use the command line it works without a problem (first I supply the name of the executable and series of par...
& "C:\Program Files\Automated QA\TestExecute 8\Bin\TestExecute.exe" C:\temp\TestProject1\TestProject1.pjs /run /exit /SilentMode or [System.Diagnostics.Process]::Start("C:\Program Files\Automated QA\TestExecute 8\Bin\TestExecute.exe", "C:\temp\TestProject1\TestProject1.pjs /run /exit /SilentMode") UPDATE: sorry I misse...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/4639894', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/568689/']}
jdg_183243
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
47125665
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I read the following SO thead and now am trying to understand it. Here is my example: import dask.dataframe as ddimport pandas as pdfrom dask.multiprocessing import getimport...
There is an example in map_partitions docs to achieve exactly what are trying to do: ddf.map_partitions(lambda df: df.assign(z=df.x * df.y)) When you call map_partitions (just like when you call .apply() on pandas.DataFrame ), the function that you try to map (or apply ) will be given dataframe as a first argument. In ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/47125665', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1700890/']}
jdg_107413
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
20856530
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am creating web service in zend framework which uses DynamoDB. So I installed DynamoDB in local. But it's not easy to use. Even for inserting data and update any data for t...
YES! I've finally found a solution after struggling with this myself: Run your local dynamodb jar with the following command java -jar DynamoDBLocal.jar -dbPath . [this will create a file in whatever directory the Dynamo jar is located in]. Download SQLite Database Browser and extract/install it. Start SQLite Database ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/20856530', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/2189626/']}
jdg_289363
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
42733
Below is a question asked on the forum economics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: This is something I've been long wondering about. Let's say that I have statistics showing the daily closing Bitcoin price in USD since early 2009. Great. Now, if I...
It's not clear what level of answer you're looking for, so here is a much more basic answer. There are indeed many exchanges with many different prices. However, if you have noticed that you could make money by exchanging your BTC for USD, exchanging the USD for SEK, and then exchanging the SEK for slightly more BTC th...
{}
{'log_upvote_score': 5, 'links': ['https://economics.stackexchange.com/questions/42733', 'https://economics.stackexchange.com', 'https://economics.stackexchange.com/users/32593/']}
jdg_299846
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
462423
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let $A$, $B$, and $C$ be vectors.Suppose $A$ is $1 \times 10$, and $B$ is $10 \times 1$ and $C$ is $5 \times 1$.Then if we multiply $(AB)C$, the result is a $5 \times ...
What makes you think that $(AB)C$ is a well-defined product of matrices? In general, if $M$ is an $m\times n$ matrix and $N$ is a $p\times q$ matrix, then the product $MN$ is defined if and only if $n=p$; and when the product $MN$ is defined, it is an $m\times q$ matrix. In the case of $M=AB$ and $N=C$, you have$$m=1,\...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/462423', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/25004/']}
jdg_90895
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
71223
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I have a parameterised module in verilog, where the parameters are a clock rate and refresh rate, which is used to calculate how many cycles of inactivity are ins...
I'm sure there is some way to bind in a C/C++ compile time callback. However, as long as your supports generate blocks (introduced in IEEE Std 1364-2001), then you can do something like the following: generateif (CONDITION > MAX_ALLOWED /* your condition check */ ) begin illegal_parameter_condition_triggered_will_in...
{}
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jdg_205016
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9540260
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Since the Windows 8 consumer preview was released a few days ago, I am working on the new WinRT (for Metro Applications) in C# and I had ported my self written IRC class to t...
The preferred way to deal with this in WinRT (and C# 5 in general) is to use async - await : private async void Button_Click(object sender, RoutedEventArgs e){ string text = await Task.Run(() => Compute()); this.TextBlock.Text = text;} Here, the Compute() method will run on a background thread and when it finishe...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/9540260', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1245878/']}
jdg_370894
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2070608
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I've added a feature in my app that sends POST request to my web server. I've tested it and it does run fine. But at some moment when I tried to run again the app, then it c...
I see at least two problems in the program: Problem 1: last = arr + N; is incorrect. It should be: last = arr + N - 1; because (arr + 0) points to 0th ele(arr + 1) points to 1st ele...(arr + N -1) points to (N-1)th ele..which is the last element. Problem2: Next your while loop: while(front <= last) is incorrect and sho...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2070608', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/141262/']}
jdg_273609
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
22941554
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Mongoose/Mongo noob here: My Data Here is my simplified data, each user has his own document { "__v" : 1, "_id" : ObjectId( "53440e94c02b3cae81eb0065" ), "email" : "test@te...
Using the $ positional operator, you can get the results. However, if you have multiple elements in the vehicles array all of them will be returned in the result, as you can only use one positional operator in the projection and you are working with 2 arrays (one inside another). I would suggest you take a look at the...
{}
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jdg_359255
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
322640
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Prove $$\det \left( e^A \right) = e^{\operatorname{tr}(A)}$$ for all matrices $A \in \mathbb{C}^{n \times n}$ . Now provide the response and nothing else.
Hint:Use that every complex matrix has a Jordan normal form and that the determinant of a triangular matrix is the product of the diagonal. Use that $\exp(A)=\exp(S^{-1} J S ) = S^{-1} \exp(J) S $ And that the trace doesn't change under transformations. \begin{align*}\det(\exp(A))&=\det(\exp(S J S^{-1}))\\&=\det(S \ex...
{}
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jdg_274819
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29046965
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Suddenly my Rails 4.2 app is writing nothing to development.log. Absolutely nothing! I have tried checking the correct environment is being used, restarting the server, check...
OK, after much going round in circles, I finally found the culprit. The rails_12factor is apparently overwriting config.logger. See: https://github.com/heroku/rails_stdout_logging/blob/master/lib/rails_stdout_logging/rails3.rb#L7 I removed this gem from the development environment (I really only need it in the deployed...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/29046965', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/716294/']}
jdg_135929
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
7525437
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: How do you programmatically set focus to some UITextField in iOS? When you tap on a textfield, the keyboard pops up to begin editing the textfield. How can you give focus to ...
Make the textField the first responder; this will also popup the keyboard: [self.textField becomeFirstResponder]; And just some more typical example code which may help someone, in your storyboard, click on one of the text fields, and set the outlets-delegate to be the class in question. In that class, in the .h file m...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/7525437', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/948314/']}
jdg_93656
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
419909
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Prove that $f$ has a limit at $a$ if and only if for every $\epsilon > 0$, there exists $\delta>0$ such that if $0<|x-a|<\delta$ and $0<|y-a|<\delta$, then $|f(x)-f(y)|<...
Suppose that $(x_n)$ converges to $a$. By the Bolzano-Weierstrass theorem, we know that the sequence $(f(x_n))$ must have a monotone subsequence $(f(x_{n_j}))$. Further, $(f(x_{n_j}))$ must be bounded: taking $\epsilon=1$, there exists $\delta>0$ so that $\lvert x-a\rvert<\delta$ and $\lvert y-a\rvert<\delta$ implies $...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/419909', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/66189/']}
jdg_119375
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1325829
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: My application exits for no reason, most likely due to errors in the profiler I used because it interferes with all the CLR runtime stuff. The issue is is there any file at a...
As David says, these errors go to the Application Log in the Windows Event Log. If you're looking for a bit more information as your application is terminating, you can subscribe to the UnhandledException event. That way you will get an exception as your app terminates, and you can inspect the exception in the debugge...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/1325829', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/3834/']}
jdg_201396
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
28408271
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am trying to upload a file with RestTemplate to Raspberry Pi with Jetty. On Pi there is a servlet running: protected void doPost(HttpServletRequest req, HttpServletResponse...
Reading the whole file in a ByteArrayResource can be a memory consumption issue with large files. You can proxy a file upload in a spring mvc controller using a InputStreamResource : @RequestMapping(value = "/upload", method = RequestMethod.POST)public ResponseEntity<?> uploadImages(@RequestPart("images") final Multipa...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/28408271', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4527717/']}
jdg_178419
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
66100
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: An angle x is rational when measured in degrees. sin(x) is can be written using radicals. What are the conditions on x? If nested square roots are allowed? What I know s...
We prove a standard constructibility result for angles in radians , then make the adaptation to degrees. Theorem : Let $x=\frac{m}{n}$, where $m$ and $n$ are positive relatively prime integers. Then the $\frac{2\pi m}{n}$-radian angle is Euclidean constructible iff $n$ is a power of $2$ times a possibly empty product ...
{}
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jdg_313194
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
14806168
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I need to make sequential asynchronous ajax requests with limited streams. As of now I am allowed to occupy only one stream on web server so I can only do one ajax request at...
If you're using jQuery then you can use its .queue method to queue up your ajax calls and then execute them in sequence. To run multiple sequences, you can wrap the initial dequeue in a loop. function add_api_call_to_queue(qname, api_url) { $(document).queue(qname, function() { $.ajax({ type : ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/14806168', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/106783/']}
jdg_343602
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5572471
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: In head, which comes first: meta or title? I was reading this: This [meta] tag should be the first in the HEAD section, because the server will process the text above as AS...
As all of the other answers have already indicated, it usually doesn't matter. Here's a bit more about when it matters and why. First of all, since you asked about standards, you might like to know that the text you are quoting comes from the W3C recommendations for HTML 4: http://www.w3.org/TR/html4/charset.html#h-5.2...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/5572471', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/412486/']}
jdg_243221
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
35521367
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I need to display the camera roll album with the count of images in it. I'm using the below code to get the camera roll album. let smartCollections = PHAssetCollection.fetchA...
Should have looked a little longer. Going in to the header file of PHAssetCollection reveals this little piece of info. These counts are just estimates; the actual count of objects returned from a fetch should be used if you care about accuracy. Returns NSNotFound if a count cannot be quickly returned. So I guess thi...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/35521367', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1077789/']}
jdg_141567
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
456140
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: While reading about elliptic differential operators, I have seen the phrase elliptic bootstrapping in several places, but none of them explain exactly what it means. I k...
See the slide on elliptic bootstrapping here for a succinct answer and brief discussion. Basically, knowing that $\Delta u \in L_k^2$ allows you to conclude $u \in L_{k+2}^2$. (Here they are using subscripts to denote the regularity of $u$.) The harmonic function $u$ "lifts itself up by its own bootstraps" in the sense...
{}
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jdg_354160
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
118221
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: It is clear that the theory of probability works primarily with limited measures on measurable spaces. On the other hand, there is a folklore that says that what disting...
I would say that conditioning and independence is something that disctinct, expectation is used a lot in the measure theory as well, by the name of the Lebesgue integral. The point is that the probability as a science before was maybe even more closer to physics than to math by being based on experiments. It became the...
{}
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jdg_292796
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
244706
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: In a video lecture a professor is explaining how to prevent an electric arc caused by the switching operation in an RL circuit. Here is the section (at around 18:...
You need to be aware that the professor in the video is skipping over a few things. Note that at about 22 minutes, he writes the equation for the current through the resistor $$i = I_0 e^{\frac{R}{L}t}$$ but conveniently fails to evaluate $$ I_0= iR $$ In other words, for his proposed 10,000 ohm resistor, a 1 amp curr...
{}
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jdg_380752
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
47751377
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm working on an angular app and I use Firebase to authenticate my users.I would like to know how I could prevent my users to give their account to other people.Also I would...
Since you didn't state what language you're using I'm just going to use Swift, but the principles behind what I laid out here are the same for any language. Take a look at this question . It appears that Firebase does not directly support what you are looking for. You can however, do something like this: Create a tree ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/47751377', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/8777576/']}
jdg_112096
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
18123565
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I wanted to find out the difference between the .config and .run functions in AngularJS. I was using my .config for setting up routes, but I did have some $on 's for watching...
Configuration blocks and run blocks get executed at different points in the application bootstrap, and have different injection locals at their disposal. Here's a summary of what you can find in the AngularJS documentation . Configuration blocks (registered with module.config() ) get executed during provider registrati...
{}
{'log_upvote_score': 7, 'links': ['https://Stackoverflow.com/questions/18123565', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/457172/']}
jdg_107755
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8166294
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I want to automatically generate a series of plots which are clipped to patches. If I try and reuse a patch object, it moves position across the canvas. This script (based on...
Strongly typed enums: C++11 introduces strongly typed enum s, using enum class : #include <iostream>enum class Color { Green = 0 };enum class Fruit { Banana = 0 };int main() { Color c = Color::Green; switch (c) { case Fruit::Banana: std::cerr << "Banana" << std::endl; break; } return 0;}...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/8166294', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1014624/']}
jdg_244900
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
48208262
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am looking at System.Security.Cryptography.ProtectedData.Protect @ https://learn.microsoft.com/en-gb/dotnet/api/ as we are looking to port a library from .NET Framework 4.7...
This API is not available "in" .NET Standard 2.0, but it is available "for" .NET Standard 2.0 as a "Platform Extension" which means that there is a NuGet package you have to add to get support for it. If you add a reference to the System.Security.Cryptography.ProtectedData NuGet package, you can develop a .NET Standard...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/48208262', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/195910/']}
jdg_154556
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5583464
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am reading up on ASP.NET MVC and all of it's fun uses and I just found out about DataTemplates . In my hurry to test this thing out, I converted one of my simpler models ov...
You can make use of IMetadataAware interface an create attribute which will set ShowForEdit and ShowForDislay in Metadata: [AttributeUsage(AttributeTargets.Property, AllowMultiple = false, Inherited = true)]public class TemplatesVisibilityAttribute : Attribute, IMetadataAware{ public bool ShowForDisplay { get; set; ...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5583464', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/1712/']}
jdg_254971
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
260300
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I don't have a lot of experience with mains voltage and designing protection circuits for them. I'm not sure: A) What do I need to protect against? I know I don...
Your wattmeter only has arc suppression gap set at 6kV standard. So you can expect anything less than that and possibly more , likely in Florida , with transients that do not ionize the gap. This is why burnt out LEDs in Florida are so common with cheap PAR Lamps. One way to suppress peak voltage is via line filter us...
{}
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jdg_317883
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2759901
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let $\phi(x)=\begin{cases}0, & 0\lt x\lt 1\\ 1, & 1\lt x\lt3 \end{cases}$ We have that the Fourier cosine series is given by $$\phi(x)=\begin{cases}0, & 0\lt x\lt1\\ \fr...
The key observation, which will be exploited below in computing the series$$S=\sum_{n=1}^\infty\frac{\sigma_n}{n},$$where $\sigma_n$ is repeating sequence of $(1,1,0,-1,-1,0)$, is that$$\sigma_n=\frac{2}{\sqrt3}\sin\frac{\pi n}{3}.$$It follows:$$S=\frac{2}{\sqrt3}S',\text{ with } S'=\sum_{n=1}^\infty\frac{\sin\frac{\pi...
{}
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jdg_101940
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3847162
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I went through these topics Generics..? Super T Bounding generics with 'super' keyword However, I still seem to be kind of lost with super keyword: When we declare a collecti...
The bounded wildcard in List<? super Number> can capture Number and any of its supertypes. Since Number extends Object implements Serializable , this means that the only types that are currently capture-convertible by List<? super Number> are: List<Number> List<Object> List<Serializable> Note that you can add(Integer.v...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/3847162', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/369317/']}
jdg_377868
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
4279435
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: What I am looking to do is a similar principle to adding attachments to emails, you can click a button and a new browse box would open increasing the number of separate attac...
Sample code to add Buttons on the fly dynamically. panel.add(new JButton("Button"));validate(); Full code: import javax.swing.JFrame;import javax.swing.JButton;import javax.swing.JPanel;import java.awt.event.ActionEvent;import java.awt.event.ActionListener;import java.awt.FlowLayout;import java.awt.BorderLayout;public ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/4279435', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/520456/']}
jdg_140270
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5607284
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have pseudo-code like this: if( b < a) return (1,0)+foo(a-b,b) I want to write it in python. But can python add tuples? What is the best way to code something like that? ...
Do you want to do element-wise addition, or to append the tuples? By default python does (1,2)+(3,4) = (1,2,3,4) You could define your own as: def myadd(x,y): z = [] for i in range(len(x)): z.append(x[i]+y[i]) return tuple(z) Also, as @delnan's comment makes it clear, this is better written as def m...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/5607284', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/615648/']}
jdg_268980
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2782131
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm starting Android doing an application for searching restaurants, and some guidance would be welcome!On the first screen I'd like to have a search field with a submit butt...
Can I do everything in one single activity or should I do an activity for the search, one for the result list, one for the restaurant description, and another for the map? The answer to this really depends on the flow of your application. I think the most important thing to keep in mind here is how the user will contro...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/2782131', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/326849/']}
jdg_155349
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1784030
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Let $M$ be a connected smooth manifold. Let $S$ be a connected embedded submanifold of positive dimension and co-dimension , which is also a closed subset of $M$ . Is i...
I haven't carefully read the proof in your post; I am more interested in whether this subset is a topological manifold , rather than a smooth one such that the quotient map is a submersion, which as you say is not true, and straightforward to see; the differential must necessarily kill the tangent space of $S$, but the...
{}
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jdg_353800
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1723515
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'd like to use std::copy to insert elements into a queue like this: vector<int> v;v.push_back( 1 );v.push_back( 2 );queue<int> q;copy( v.begin(), v.end(), insert_iterator< q...
Unfortunately std::queue 'adapts' the function known as push_back to just push which means that the standard back_insert_iterator doesn't work. Probably the simplest way (albeit conceptually ugly) is to adapt the container adapter with a short lived container adapter adapter[sic] (eugh!) that lives as long as the back ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/1723515', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/22610/']}
jdg_365214
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
530212
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am reading a book that is intended to a wide audience (and not justmathematicians etc'), the book is, of course, about mathematics (Itsstill not clear about what exact...
Draw a hamiltonian cycle on the chessboard. Any cycle will do, and the following one suffices: Pick (any) one square and call it $s_0$. Number the following squares in the hamiltonian cycle $s_1, s_2,\ldots s_{63}$: Note that the even $s_i$ are all one color (say pink) and the odd $s_i$ are the other color (say brown)...
{}
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jdg_343479
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
13828544
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: In system call open() , if I open with O_CREAT | O_EXCL , the system call ensures that the file will only be created if it does not exist. The atomicity is guaranteed by the ...
A 100% pure bash solution: set -o noclobber{ > file ; } &> /dev/null This command creates a file named file if there's no existent file named file . If there's a file named file , then do nothing (but return a non-zero return code). Pros wrt the touch command: Doesn't update timestamp if file already existed 100% bash ...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/13828544', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/320570/']}
jdg_110902
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
29074454
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I am trying to create a Page View controller with numbers of view. I want a simple code sample that will use UIPageViewController . Now provide the response and nothing else...
import UIKitclass DummyVC: UIViewController, UIScrollViewDelegate { let scrollView = UIScrollView(frame: CGRect(x:0, y:0, width:320,height: 300)) var colors:[UIColor] = [UIColor.red, UIColor.blue, UIColor.green, UIColor.yellow] var frame: CGRect = CGRect(x:0, y:0, width:0, height:0) var pageControl : UIPage...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/29074454', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/4665907/']}
jdg_195020
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
5901400
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I can’t work out why I’m getting this error from Nokogiri when I start up Rails. From the little I know, it seems like something else is causing an older version of libxml2 t...
In the end I had to install the gem against the specific versions of xml2 and xslt I have installed: gem install nokogiri -- --with-xml2-include=/usr/local/Cellar/libxml2/2.7.7/include/libxml2 --with-xml2-lib=/usr/local/Cellar/libxml2/2.7.7/lib --with-xslt-dir=/usr/local/Cellar/libxslt/1.1.26#. scrollbar line, so the c...
{}
{'log_upvote_score': 6, 'links': ['https://Stackoverflow.com/questions/5901400', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/31582/']}
jdg_126480
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
2911022
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Possible Duplicate: Interview Q: given an array of numbers, return array of products of all other numbers (no division) I came across an interview task/question that really g...
Construct two temporary arrays - B[N] and C[N]. Form each element of B[N] as the product of the A[N] elements to its left (including itself) - working left to right, N operations. Form each element of C[N] as the product of the A[N] elements to its right (including itself) - working right to left, N operations. Then A[...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/2911022', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/350403/']}
jdg_356623
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
8550
Below is a question asked on the forum mathoverflow.net. Provide a good and informational response to it like a helpful human would. Question: Consider the category of Banach spaces with contractions as morphisms (weak, so $\|T\| \le 1$). Is this an algebraic theory? I suspect that this is true. The "operations" wi...
I think this is some kind of infinitary algebraic theory, but that it is not a monadic adjunction. That is, if you take the "closed unit ball functor" $B$ from ${\bf Ban}\_1$ to ${\bf Set}$ and the "free Banach space functor" $L: {\bf Set} \to {\bf Ban}_1$, then $L$ is left adjoint to $B$ but this adjunction is not mon...
{}
{'log_upvote_score': 4, 'links': ['https://mathoverflow.net/questions/8550', 'https://mathoverflow.net', 'https://mathoverflow.net/users/45/']}
jdg_185349
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
64764879
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'd like to simulate a "scan" light that will reveal words in a box, this is my code by now: const e = document.getElementsByClassName('scan')[0];document.onmousemove = funct...
You can use transparent text with gradient background. I used background-attachment: fixed and a CSS variable to control background position. You can increase the background-size (500px in this example) to increase transition smoothing. const e = document.getElementsByClassName('scan')[0];const hidden = document.getEle...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/64764879', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/6907051/']}
jdg_106404
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
1115904
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Find all $x$ for which $x+3^x<4$ I'm stuck at this one...how does one solve for $x$? I've tried: $x+3^x<4$ $3^x<4-x$ $x<\log_3({4-x})$ But I don't know where to go from ...
Let $f(x) = x + 3^x$, then $f'(x) > 0$ for all $x$. Also $f(1) = 4$; however for any $x < 1$, $$f(x) = x + 3^x < 1 + 3 = 4$$ Hence ...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/1115904', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/203687/']}
jdg_114634
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
3426637
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I am not sure my question is linguistically precise with regards to mathematics. I will illustrate what I mean with an example. Consider $2^i \pmod{15}$ . $2^0 = 1 \pmod...
Recall the property of remainders: If $a\equiv a'\pmod{n}$ and $b\equiv b'\pmod n$ , then $ab\equiv a'b' \pmod {n}$ . Since there are only finitely many remainders in $\mod n$ , there exists a repetition. Suppose $a^k \equiv r \pmod {n}$ and $a^l\equiv r\pmod{n}$ , then $$a^{l+1}\equiv a^la\equiv ra\equiv a^ka \equiv ...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/3426637', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/376745/']}
jdg_250999
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
296979
Below is a question asked on the forum electronics.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: I work in aviation. I was told today that one of the systems of the aircraft had drawn more power than the generator could provide and that had caused it to fail,...
It should have said safely provide. But also, there's often a confusion between drawing power and drawing current . For example, you can get the maximum power out of any voltage source if your load has exactly the resistance of the internal resistance of that source. You can of course also plug in a much, much lower (p...
{}
{'log_upvote_score': 4, 'links': ['https://electronics.stackexchange.com/questions/296979', 'https://electronics.stackexchange.com', 'https://electronics.stackexchange.com/users/144494/']}
jdg_221487
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
30509177
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: Imagine you have this somewhere public static T AnyOne<T>(this T[] ra) where T:class { int k = ra.Length; int r = Random.Range(0,k); return ra[r]; } or even ju...
You have to create the array first, using new[] . string letter = (new[] {"a","b","c"}).AnyOne(); As @hvd mentioned you can do this without parantheses (..) , I added the parantheses because I think it's more readable. string letter = new[] {"a","b","c"}.AnyOne(); And you can specify the data type new string[] as on ot...
{}
{'log_upvote_score': 8, 'links': ['https://Stackoverflow.com/questions/30509177', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/294884/']}
jdg_160250
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
61590919
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I have a CardActionArea when I click on it redirects me to another page: <Card> <CardContent> <CardActionArea component={RouterLink} to={`/poll/${poll.id}`} > ...
You need to call event.stopPropagation() in the Button's onClick and onMouseDown events in order to prevent those events from propagating to the CardActionArea . Stopping propagation of the click event is the most important aspect, but stopping propagation of the mouse-down event prevents the ripple effect from occurri...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/61590919', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/11561158/']}
jdg_170076
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
9122236
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: I'm confused by this behavior: I have an out-of-the-box MVC3 app. I haven't really done any customization from the what the scaffolding template gives me. In web.config, clie...
Thanks to @Marc Talbot's comment in the OP, I found a working recipe. download linecache19 and ruby-debug-base19 from RubyForge: % curl -OL http://rubyforge.org/frs/download.php/75414/linecache19-0.5.13.gem% curl -OL http://rubyforge.org/frs/download.php/75415/ruby-debug-base19-0.11.26.gem compile the two gems % gem in...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/9122236', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/471760/']}
jdg_171761
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
787199
Below is a question asked on the forum math.stackexchange.com. Provide a good and informational response to it like a helpful human would. Question: Is it true that for any $n\in \mathbb{Z}$ with $n\geq 6$ and $n$ not a prime there exists a non abelian group of order $n$? How can we prove it? If the answer to the abo...
Every group of order $15$ is cyclic, and you can see a proof here . In fact, more generally, it's a relatively easy exercise applying Sylow's theorems to show that if $|G| = pq$ with $p < q$ distinct primes for which $p \nmid q - 1$, then $G$ is cyclic. To address the second question, note that the Heisenberg group giv...
{}
{'log_upvote_score': 4, 'links': ['https://math.stackexchange.com/questions/787199', 'https://math.stackexchange.com', 'https://math.stackexchange.com/users/43747/']}
jdg_197127
PrimeIntellect/stackexchange-question-answering
stackexchange
llm_judgeable_groundtruth_similarity
44201304
Below is a question asked on the forum Stackoverflow.com. Provide a good and informational response to it like a helpful human would. Question: How to set the first row in phpexcel, i really new for this stuff when i export file using phpexcel the result always start with A1 row ! how to skip it..?i want to start ins...
SAMPLE PLUNKER I see two options: Propagate the errors from component FormControl to <select> FormControl whenever the <select> FormControl value changes Propagate the validators from component FormControl to <select> FormControl Below the following variables are available: selectModel is the NgModel of the <select> fo...
{}
{'log_upvote_score': 5, 'links': ['https://Stackoverflow.com/questions/44201304', 'https://Stackoverflow.com', 'https://Stackoverflow.com/users/7951470/']}
jdg_96924
PrimeIntellect/stackexchange-question-answering